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Finding the Fourth Proportional to 382,639.45, 573,968.64 and 182,980.93

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Solution

The fourth proportional to 382,639.45, 573,968.64 and 182,980.93 is: 274,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,639.45 : 573,968.64 = 182,980.93 : x
  2. Step 2: Convert to fraction form
    382,639.45/573,968.64 = 182,980.93/x
  3. Step 3: Cross multiply
    382,639.45x = 573,968.64 × 182,980.93
  4. Step 4: Simplify right side
    382,639.45x = 105,025,315,538.04
  5. Step 5: Solve for x
    x = 105,025,315,538.04/382,639.45
  6. Step 6: Final answer
    x = 274,475.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.